Daily Practice · Higher
December 2010 - Higher 5-a-day
Every Higher sheet published in December 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2010A block has volume 185 cm^3 and density 3 g/cm^3. Work out its mass.
- 2nd December 2010The point (-6, -6) is enlarged by scale factor -2 about the centre (-2, -1). Write down the coordinates of the image.
- 3rd December 20106 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th December 2010A box plot has minimum 9, lower quartile 19, median 27, upper quartile 31 and maximum 39. Work out the interquartile range.
- 5th December 2010Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 6th December 2010Factorise x^2 - x - 6.
- 7th December 2010x : y = 4 : 9. Write y in terms of x.
- 8th December 2010Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 9th December 201023 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th December 2010A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 11th December 2010A meal deal has 9 mains, 5 sides and 2 drinks. How many different meals are possible?
- 12th December 2010Work out the equation of the line parallel to y = -2x + 7 that passes through (5, -15).
- 13th December 2010A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 14th December 2010A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 15th December 20104 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th December 2010A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 17th December 2010A mass is 79 kg, correct to the nearest whole number. Write down the upper bound.
- 18th December 2010A line has equation y = -5x + 5. Work out the gradient of any line perpendicular to it.
- 19th December 2010y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 4.
- 20th December 2010ABCD is a cyclic quadrilateral. Angle ABC is 112°. Work out angle ADC.
- 21st December 201021 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd December 2010Four classes in order have frequencies 4, 8, 12, 5. Write down the cumulative frequency at the end of the third class.
- 23rd December 2010Write 7^-1 as a fraction.
- 24th December 2010For the curve y = -24/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 25th December 2010y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 8.
- 26th December 2010A, B and C are points on a circle with centre O. Angle AOC is 54°. Work out angle ABC, where B is on the major arc.
- 27th December 20105 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th December 201040 voles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.
- 29th December 2010Work out (7 x 10^8) x (5 x 10^-4). Give your answer in standard form.
- 30th December 2010Expand and simplify (x + 5)(x - 2)(x - 3).
- 31st December 2010y is directly proportional to x. When x = 8, y = 16. Work out y when x = 6.